Question

Find a quadratic polynomial whose zeros are 5/8 and 2and verify the relationship between its zeros and coefficients

Answer 1

Answer:

8x²-21x+10 is the polynomial

Step-by-step explanation:

Let @ and ß be the zeros of required quadratic polynomial

→@=5/8 and ß=2

Now,

•Sum of zeros:

@+ß

=5/8+2

=(16+5)/8

=21/8

•Product of zeros:

@ß=5/8×2=10/8

Quadratic Polynomial:

x²-(sum of zeros)x+product of zeros

=x²-(21/8)x+10/8

Multiplying the whole equation by 8.

= 8x²-21+10